# Non-perturbative quark mass renormalisation and running in $N_{\scriptstyle \mathrm{f}}=3$ QCD

The European Physical Journal C, May 2018

We determine from first principles the quark mass anomalous dimension in $N_{\scriptstyle \mathrm{f}}=3$ QCD between the electroweak and hadronic scales. This allows for a fully non-perturbative connection of the perturbative and non-perturbative regimes of the Standard Model in the hadronic sector. The computation is carried out to high accuracy, employing massless $\text{ O }(a)$-improved Wilson quarks and finite-size scaling techniques. We also provide the matching factors required in the renormalisation of light quark masses from lattice computations with $\text{ O }(a)$-improved Wilson fermions and a tree-level Symanzik improved gauge action. The total uncertainty due to renormalisation and running in the determination of light quark masses in the SM is thus reduced to about $1\%$.

This is a preview of a remote PDF: https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-018-5870-5.pdf

I. Campos, P. Fritzsch, C. Pena, D. Preti, A. Ramos, A. Vladikas. Non-perturbative quark mass renormalisation and running in $N_{\scriptstyle \mathrm{f}}=3$ QCD, The European Physical Journal C, 2018, 387, DOI: 10.1140/epjc/s10052-018-5870-5